Question

In: Mechanical Engineering

Joe Bruin has a big lawn in front of his house that is 30 meters wide...

Joe Bruin has a big lawn in front of his house that is 30 meters wide and 20 meters long. Josephine makes him go out and mow the grass every weekend, so several years ago, he bought a fancy John Deere riding mower , which he loves to ride around his yard. The mower has a gasoline engine that is rated at 20 horsepower. To mow his lawn each week, Joe needs to use the mower for about 30 minutes, and the average power used by the mower during this period is 5 horsepower. Joe has a very healthy lawn that generates a lot of lawn clippings, and after doing the EPSS 101 biofuels lab, Joe gets the idea that 3 if he converted his mower to run on biofuelds instead of gasoline, then maybe he could use biofuels generated from his lawn clippings to power his mower

a. Calculate the weekly fuel energy requirements for Joe’s riding mower. (Hint. Don’t forget to include the efficiency of the mower’s internal combustion engine)

b. Calculate the chemical energy content of the clippings produced by Joe’s lawn each week, assume solar insolation is 5.62 kWH per square meter per day (Hint. Start with the amount of sunlight the lawn absorbs each week and then use the photosynthetic efficiency of corn to calculate the chemical energy content of the grass that grows each week)

c. Use your answer from Part b to calculate the mass of grass clippings produced by Joe’s lawn each week. Given that the density of grass clippings is 667 pounds per cubic yard, how many 50-gallon trash cans would be required to hold the clippings? (Hint: Convert the energy content you calculated for Part b to dry biomass content, and then assume that the grass clippings are 80% water)

d. Joe’s first idea is to use solar power to dry the grass clippings. Then, he would mod his riding mower to install a Stirling engine in place of the gasoline engine, and then power the engine by burning the grass clippings. Compare the fuel energy that could be provided by burning the grass clippings in this manner each week to the energy needs of Joe’s riding mower. Independent of the significant air pollution that would be generated by burning the clippings, would this scheme work? Could the clippings power Joe’s mower? Would there be any energy left over for other purposes?

e. Josephine works in a biology lab at UCLA and they have recently come up with a magic strain of bacteria that converts cellulose (the dominant organic component of grass clippings) into glucose. To create ethanol fuel, Joe and Josephine put the wet grass clippings into barrels, and then add an equal mass of water, plus a cup of the magic bacteria, and then they let it sit for two weeks while the cellulose is converted to glucose. Then, Joe takes the resulting glucose solution and adds yeast to ferment the solution to produce a 15% ethanol solution, which takes an additional week. Then, every week, he burns additional grass clippings in a large still to distill the 15% ethanol solution to create a 95% ethanol solution. The resulting distillate is clean-burning fuel, which Joe uses to power his riding mower, which he has, of course, modified to run on ethanol. Ignoring the fact that the magic strain of bacteria doesn’t really exist, will this scheme work? Would the clippings provide enough ethanol to power Joe’s mower? Would there be any additional ethanol left over for other purposes, like powering Joe’s car, or to create alcoholic beverages to 4 drink when Joe’s friends come over to watch UCLA football games on Saturday afternoons?

f. If Joe could find a way to use biofuels to power his mower, would this whole operation be sustainable? Discuss the needs of Joe’s lawn for water and nutrients. Discuss the demands on Joe’s time. Do you think Joe would have enough time to run his home biofuel operation and also have time to invite his friends over to watch football games on weekends?

Solutions

Expert Solution

1. 5 horsepower for 30 mins -

5 x 745.7 = 3.7285 kW power delivered

General Efficiency of IC Engine = 20%

Power required = 3.7285/0.2 = 18.6425kW

Energy required per week = P x Time = 18.6425 x 60 x 30 = 33.5565 MJ

2. Lawn area = 30x20 = 600m2

Let sunlight hours be 8 Hours

Hence solar power input on lawn = 5.62x3600 =20232kJ/m2/day

Energy input in lawn = 600 x 20232 x 7 = 84974.4 MJ/week

Chemical Efficiency by photosynthesis = 4%

Chemeical Content in grass =84974.4 x 0.04 = 3398.97MJ

3. Mass of grass clippings = (30x20) x (1.096)2x (667) = 478632.33 pounds of grass clippings

removing water content, dried grass clippings = 95726.46 pounds = 11533.25 gallons

Trash Cans required = 11533.25/50 = 230.66 = 231 cans

4. By burning gas, total energy input to sterling engine = 3398.97MJ x 0.2 = 679.794 MJ

Efficiency of a sterling engine ~ 20%

Energy output by engine = 679.794 x 0.2 = 135.96MJ

Energy required by mover = 33.5565 MJ

Hence Energy(output)>Energy(required) this scheme is feasible, the grass clippings can run the power the grass mover and still there will be 102.40 MJ of Engine Energy left out to use.


Related Solutions

The owner of a particular house has an unobstructed view of the ocean from his front...
The owner of a particular house has an unobstructed view of the ocean from his front window. However, the owner of a vacant lot in front of the house announces plans to build a house of his own. Suppose that a one-story house will partially obstruct the view, but a two-story house will block it completely. The builder’s profit and the value of the house are as follows: # of stories Profit Value of view 0 $0 $70,000 1 $100,000...
A guy named Joe, who is 1.6 meters tall, enters a room in which someone has...
A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with radius of curvature R equal to 30 meters. The mirror has been cut in half, so that the axis of the mirror is at ground level. (Figure 1) As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns...
A guy named Joe, who is 1.6 meters tall, enters a room in which someone has...
A guy named Joe, who is 1.6 meters tall, enters a room in which someone has placed a large convex mirror with radius of curvature RRR equal to 30 meters. The mirror has been cut in half, so that the axis of the mirror is at ground level. (Figure 1)As Joe enters the room, he is 5 meters in front of the mirror, but he is looking the other way, so he fails to see it. When he turns around,...
A board that is 20.0cm wide, 5.00cm thick, and 3.00 meters long has a density 340...
A board that is 20.0cm wide, 5.00cm thick, and 3.00 meters long has a density 340 kg/m3 . The board is floating partially submerged in water of density 1000 kg/m3. What fraction of the volume of the board is below the surface of the water?
Joe Smith, a young Engineer has planned to buy a house that they could afford. He...
Joe Smith, a young Engineer has planned to buy a house that they could afford. He and his spouse have been saving even before getting married and have put away about $65,000. The average price of a start up house or condo is about $550,000 here in Los Angeles, California. They have the following options to take a Jumbo loan; 1.     ) 30-years fixed (% 20 down) ·       Note rate: 3.75 % ·       Cost: 0.0 Points 2.     ) 15-years fixed...
Joe has a written agreement with Naomi in terms whereof he is renting a house from...
Joe has a written agreement with Naomi in terms whereof he is renting a house from her. After the lease has been running for a few months, they agree orally that, from now on, Naomi (the lessor) shall pay for a gardening service to maintain the garden. In return, Joe (the lessee) will pay an extra N$ 100 in rent, since he no longer has to take responsibility for looking after the garden. Is this change valid?
A farmer has 80 meters of fence to make an enclosure for his cows. The enclosure...
A farmer has 80 meters of fence to make an enclosure for his cows. The enclosure is divided into 2 sections by a fence parallel to one of the sides, as in the drawing below. One section is shaped like a half-hoop and the other is shaped rectangular. Find the dimensions that maximize the total area of ​​the enclosure.
Mike, a managing member of Big House Realty, Corporation, often uses his company credit card for...
Mike, a managing member of Big House Realty, Corporation, often uses his company credit card for personal expenses like dry cleaning and new clothes. He insists that these are business expenses because he must wear new clothes in order to show houses. Is Mike at risk of losing his liability protection? Why or why not?
Unbeknownst to Joe, his bout of enteritis severely injures his pancreas and he unknowingly has developed...
Unbeknownst to Joe, his bout of enteritis severely injures his pancreas and he unknowingly has developed type 1 diabetes. Describe the disease progression that Joe went through before diagnosis and how he was treated. Describe how caloric excess excess leads to disease
Joe has an annual income of $80,000. His employer pays all of his health insurance premiums....
Joe has an annual income of $80,000. His employer pays all of his health insurance premiums. Joe expects to incur $2,000 in unreimbursed medical expenses for the year. He pays an average federal tax rate of 22%. In addition, his state has a flat 3% income tax rate. Thus, his total income taxes paid will be equal to 25% of his taxable income. Joe expects to deduct $15,000 from his annual income for income tax purposes. a. How much income...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT